2. Angle Addition Postulate as they are adding both angles
3. 60 + 40 = m <ABC because it's a substitution
4. 100 = m <ABC as it is simplified already
5. Definition of obtuse angle
Step-by-step explanation:
2x-10x= -4y-y
-8x= -5y
cancel (-) on both sides we get
8x=4y
Answer:
h = 5 cm
Step-by-step explanation:
Given that,
The volume of ice-cream in the cone is half the volume of the cone.
Volume of cone is given by :
r is radius of cone, r = 3 cm
h is height of cone, h = 6 cm
So,
Let 
is the volume of icecream in the cone. So,
Let H be the depth of the icecream.
Two triangles formed by the cone and the icecream will be similiar. SO,
So, volume of icecream in the cone is :
or
h = 5 cm
So, the depth of the ice-cream is 5 cm.
Answer:
222
Step-by-step explanation:
Closely pay attention to the transversal line running from up-left to down-right.
y) you will notice that the angle to the right of z is corresponding with 50 then 50 will be vertically opposite 6y + 2 hence making them equal.
6y - 2 = 50
6y = 50 - 2
6y = 48
y = 6
z) vertically opposite angles are equal hence the 50 will be equal to the empty space in the triangle.
z + 60 + 50 = 180
z + 110 = 180
z = 180 - 110
z = 70
2y + 3z
2(6) + 3(70)
12 + 210
= 222
